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Finding the Fourth Proportional to 874.90, 1,312.41 and 289.88

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Solution

The fourth proportional to 874.90, 1,312.41 and 289.88 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,312.41 = 289.88 : x
  2. Step 2: Convert to fraction form
    874.90/1,312.41 = 289.88/x
  3. Step 3: Cross multiply
    874.90x = 1,312.41 × 289.88
  4. Step 4: Simplify right side
    874.90x = 380,433.40
  5. Step 5: Solve for x
    x = 380,433.40/874.90
  6. Step 6: Final answer
    x = 434.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.